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Finding the Fourth Proportional to 202,144.40, 302,957.40 and 96,736.40

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Solution

The fourth proportional to 202,144.40, 302,957.40 and 96,736.40 is: 144,980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,144.40 : 302,957.40 = 96,736.40 : x
  2. Step 2: Convert to fraction form
    202,144.40/302,957.40 = 96,736.40/x
  3. Step 3: Cross multiply
    202,144.40x = 302,957.40 × 96,736.40
  4. Step 4: Simplify right side
    202,144.40x = 29,307,008,229.36
  5. Step 5: Solve for x
    x = 29,307,008,229.36/202,144.40
  6. Step 6: Final answer
    x = 144,980.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.